adulate
shine up
soft-soap
fawn
stroke
brown-nose
blandish, flatter
To flatter, compliment, (''colloquially'') to up, soft-soap, up to.
(ux)
To coax, cajole, beguile.
To toady to, truckle to, favor with, (''colloquially'') to brownnose, kiss/lick sb's ass/boots.